If the motor is running on AC, the speed will be related to the frequency of the suppy, and cannot be altered, unless the power supply is through a VFD.
A brushed DC motor speed can be controlled by varying the supply voltage, but at the cost of reduced powere as the voltage is reduced.
Brushless DC motor speeds can be controlled electronically.
If the existing motor is AC; Sounds like it , being 4 pole. On 50 Hz mains, I would expect a shaft speed circa 1470 rpm.
If the objective is to vary the speed of the machine driven by the motor, this can be achieved in a variety of ways, but only one will even approach being infinitely variable.
This is a variator, usually in the form of two, opposed conical belt pulleys, one of which can be used to move the belt up and down the cone, thus varying the ratio.
The other means provide speed changes for the output shaft, in fixed steps. Gears, Chain and sprockets, or belts and pulleys. Gears and chains provide a positive drive, which unless cogged belts and pulleys are used, V or flat belts do not.
I hope that this clarifies your thoughts
Howard.